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Finding the Third Proportional to 168,528 and 368,724

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Solution

The third proportional to 168,528 and 368,724 is: 806,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,528 : 368,724 = 368,724 : x
  2. Step 2: Convert to fraction form
    168,528/368,724 = 368,724/x
  3. Step 3: Cross multiply
    168,528x = 368,724 × 368,724
  4. Step 4: Simplify right side
    168,528x = 135,957,388,176
  5. Step 5: Solve for x
    x = 135,957,388,176/168,528
  6. Step 6: Final answer
    x = 806,734.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.